MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine which of the expressions is not equivalent to the given expression by the commutative and associative laws. 1 p q 9 1 A p q 9 B q p 9 C

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine which of the expressions is not equivalent to the given expression by the commutative and associative laws. 1) (p · q) · 9 1) A) p · (q · 9 ) B) (q · p) · 9 C) 9 p + 9 q D) p · ( 9 · q) 2) x + (y + 15 ) 2) A) 15 x + y B) (y + x) + 15 C) (x + y) + 15 D) x + ( 15 + y) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 3) Explain why ( - 6) - 4 is positive. 3) 4) Explain the difference between rational numbers and irrational numbers. 4) 5) Determine whether the following statement is true or false, and explain why. All integers are rational numbers. 5) 6) Tell whether the following statement is true or false and why. Every real number has a reciprocal. 6) 7) Determine whether the following statement is true or false, and explain why. All real numbers are rational numbers. 7) 8) Explain how addition and subtraction of real numbers are related. 8) 9) Give an example which demonstrates that subtraction is not commutative. 9) 10) What advantage does set - builder notation have over roster notation? 10) 11) Why is absolute value always nonnegative? 11) 12) Without performing the actual addition, explain why the sum of the integers between - 50 through 50 is 0. 12) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use an associative law to find an equivalent expression. 13) ( 2 x)y 13) A) (x 2 )y B) 2 x + 2 y C) 2 (xy) D) ( 2 y)x Identify the inequality as true or false. 14) - 52 < 0 14) A) True B) False 1 Chapter 0 (Intermediate Algebra, 12e Marvin Bittinger, Judith Beecher, Barbara Johnson) (Test Bank, For Complete File, Download link at the end of this File) (Answer at the end of each Chapter) 1 / 4

Multiply and simplify. Write the answer using positive exponents. 15) ( - 5 x 3 ) ( - 9 x 4 ) 15) A) - 14 x 7 B) - 14 x 12 C) - 45 x 12 D) 45 x 7 Simplify by removing parentheses and collecting like terms. 16) 4 ( 3 x - 3 ) - 8 (x - 2 ) 16) A) 4 x - 5 B) 4 x - 28 C) -20 x + 4 D) 4 x + 4 Simplify. 17) 17 + 17 · 23 - ( -7 ) 17) A) 775 B) 64 C) 789 D) 415 Identify the inequality as true or false. 18) -4 > -4 18) A) True B) False Divide and simplify. 19) 9 10 9 6 19) A) 9 16 B) 9 4 C) 9 10 D) 1 9 4 Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. 20) If the distance from the earth to the sun were 98,000 ,000 miles. How long would it take a rocket, traveling at 2.6 × 10 3 miles per hour, to reach the sun? (Round to three places) 20) A) 3.769 hr B) 3.769 × 10 2 hr C) 3.769 × 10 4 hr D) 3.769 × 10 3 hr Name all the elements of B that belong to the given set. 21) B = { 4 , 7 , -23 , 0, 7 9 , - 9 7 , 3.5 , 4 } Integers 21) A) 5 , 0, 4 B) 5 , -23 , 0 C) 4 , -23 , 0, 4 D) 5 , 0 Simplify. 22) ( 9 6 ) -3 22) A) 1 -162 B) 1 9 18 C) 9 3 D) 1 9 3 Find the absolute value. 23) | - 0.008 | 23) A) - 0.008 B) 0.008 C) 0.016 D) 0 Simplify. 24) ( 9 x ) 6 y 24) A) 9 x + 6 y B) 9 6 xy C) 9 x 6 y D) 9 x + 6 2 2 / 4

25) 256 ÷ ( - 32 ) ÷ ( - 4 ) 25) A) - 32 B) 2 C) - 2 D) 32 Simplify by removing parentheses and collecting like terms. 26) 9 x - ( 2 x - 4 ) - ( -6 x + 1) 26) A) 17 x + 3 B) 13 x + 5 C) 13 x - 5 D) 13 x + 3 Write a true sentence using either < or > . 27) 46 -63 27) A) 46 < -63 B) 46 > -63 Multiply. 28) ( -5 )( -5 )( -10 ) 28) A) 250 B) -260 C) -250 D) -150 Find the reciprocal, if it exists. 29) - 7 6 29) A) 6 7 B) 7 6 C) - 6 7 D) 1 Divide, if possible. 30) -204 -34 30) A) -6 B) 6 C) 1 6 D) -4 Simplify. 31) [ 33 ÷ ( - 3 )] ÷ - 1 4 31) A) 44 B) - 44 C) - 44 3 D) 44 3 Express the number in scientific notation. 32) 78 ,000,000,000 32) A) 7.8 × 10 - 10 B) 7.8 × 10 - 9 C) 7.8 × 10 9 D) 7.8 × 10 10 Write an equivalent expression. Use a commutative law. 33) 5 + b 33) A) 5 b B) b 5 C) b + 5 D) 5 (1 + b) Determine whether the expressions are equivalent. 34) 4 x + 12 x, 4 (x + 3 x) 34) A) Yes B) No 3 3 / 4

Write an equivalent expression. Use a commutative law. 35) wx 35) A) xw B) 1 wx C) w ÷ x D) w + x Perform the indicated operation. Write the answer in scientific notation. 36) 20 × 10 -9 5 × 10 5 36) A) 4 × 10 - 14 B) 8 × 10 - 14 C) 8 × 10 -4 D) 4 × 10 -4 Simplify by removing parentheses and collecting like terms. 37) 1 3 ( 12 x - 15 ) - 1 5 ( -30 x + 35 ) - 13 37) A) -2 x - 25 B) 10 x - 25 C) -2 x - 11 D) 10 x - 11 Rewrite using a negative exponent. 38) 1 6 3 38) A) 6 -3 B) 6 -4 C) 6 3 D) 3 -6 Simplify. 39) 2 + ( -8 )( -23 ) + ( -5 ) 39) A) 28 B) 180 C) 225 D) 181 Subtract. 40) - 4 - 13 40) A) 9 B) -9 C) -17 D) 17 Use roster notation to name the set. 41) The set consisting of the first 5 even natural numbers 41) A) {2, 4, 6, 8, 10} B) {1, 3, 5, 7, 9} C) {1, 2, 3, 4, 5} D) {1, 2, 4, 6, 8} Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. 42) A computer can do one calculation in 1.4 × 10 - 7 seconds. How long would it take the computer to do a trillion ( 10 12 ) calculations? 42) A) 1.4 × 10 - 7 sec B) 1.4 × 10 6 sec C) 1.4 × 10 5 sec D) 1.4 × 10 12 sec Rewrite using a positive exponent. Evaluate, if possible. 43) - 1 4 · - 1 4 · - 1 4 · - 1 4 43) A) ( - 4 ) 4 B) 4 ( - 4 ) C) - 1 16 D) - 1 4 4 Simplify by removing parentheses and collecting like terms. 44) - 4 t + 11 - ( 3 t + 4 ) - 5 ( 3 t + 7 ) 44) A) -22 t - 28 B) -16 t - 20 C) -22 t + 42 D) 22 t + 11 4

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